Question : 56 persons can repair a bridge in 20 days. If 14 more people join them, then the bridge can be repaired in:
Option 1: 18 days
Option 2: 12 days
Option 3: 16 days
Option 4: 14 days
Correct Answer: 16 days
Solution :
Given,
56 persons can repair a bridge in 20 days.
We know that work = Total manpower × Total days
⇒ $M_1D_1= M_2D_2$
Here M
1
= 56, D
1
= 20, M
2
= 70, D
2
= $y$ (Let)
⇒ $56 × 20 = 70 × y$
⇒ $y = \frac{56×20}{70}$
⇒ $y=16$ days
Hence, the correct answer is 16 days.
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